Search a number
-
+
427941120 = 2835111443
BaseRepresentation
bin11001100000011…
…101110100000000
31002211020122212010
4121200131310000
51334023103440
6110244132520
713414303515
oct3140356400
91084218763
10427941120
111aa61a552
12bb397140
136a8753c9
1440b9930c
1527882580
hex1981dd00

427941120 has 72 divisors (see below), whose sum is σ = 1366749216. Its totient is φ = 114116608.

The previous prime is 427941109. The next prime is 427941121. The reversal of 427941120 is 21149724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427941121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51882 + ... + 59561.

It is an arithmetic number, because the mean of its divisors is an integer number (18982628).

Almost surely, 2427941120 is an apocalyptic number.

427941120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427941120 is an abundant number, since it is smaller than the sum of its proper divisors (938808096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427941120 is a wasteful number, since it uses less digits than its factorization.

427941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111467 (or 111453 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 427941120 is about 20686.7377805202. The cubic root of 427941120 is about 753.5776445873.

The spelling of 427941120 in words is "four hundred twenty-seven million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 111443 222886 334329 445772 557215 668658 891544 1114430 1337316 1671645 1783088 2228860 2674632 3343290 3566176 4457720 5349264 6686580 7132352 8915440 10698528 13373160 14264704 17830880 21397056 26746320 28529408 35661760 42794112 53492640 71323520 85588224 106985280 142647040 213970560 427941120